The answer is -34. Substitute the letters for the numbers
Answer:
I hope it requires the picture I have drawn.
Start by creating an equation. You’ll need a variable to represent what is earned per week, for example x.
So,
420=60+9x
(Since he already has 60)
Subtract the 60 from 420 to begin isolating the variable
This gives you
360=9x
Divide both sides by 9 to completely isolate the variable
This gives you
40=x
So, he needs to save up $40 each week
At first glance, this problem seems cumbersome, but the great thing about the properties of logarithms is that they allow us to break our problem down into chunks and sort through each on its own.
Let's look at what we've been given:
![\log_3{(x^{20}\cdot \sqrt[3]{y^6} )](https://tex.z-dn.net/?f=%5Clog_3%7B%28x%5E%7B20%7D%5Ccdot%20%5Csqrt%5B3%5D%7By%5E6%7D%20%29)
We can start by using the property that

to separate our single logarithm into the sum of two:
![\log_3x^{20}+\log_3\sqrt[3]{y^6}](https://tex.z-dn.net/?f=%5Clog_3x%5E%7B20%7D%2B%5Clog_3%5Csqrt%5B3%5D%7By%5E6%7D)
Next, let's simplify the term
![\sqrt[3]{y^6}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%5E6%7D%20)
into something a little more workable. We can turn the radical
![\sqrt[3]{\ }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%5C%20%7D%20)
into the rational exponent 1/3, which lets us obtainin a new form for the y term:

We now have:

We can now use the property that

to bring the exponents on the x and the y out front and obtain our final answer:

Where 20 is our A and 2 is our B